145912491648 has 1152 divisors, whose sum is σ = 589684717440. Its totient is φ = 34062336000.

The previous prime is 145912491643. The next prime is 145912491649. The reversal of 145912491648 is 846194219541.

145912491648 is a `hidden beast` number, since 1 + 4 + 5 + 91 + 2 + 491 + 64 + 8 = 666.

145912491648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×145912491648³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145912491594 and 145912491603.

It is not an unprimeable number, because it can be changed into a prime (145912491643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 242782548 + ... + 242783148.

It is an arithmetic number, because the mean of its divisors is an integer number (511879095).

Almost surely, 2^145912491648 is an apocalyptic number.

145912491648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145912491648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294842358720).

145912491648 is an abundant number, since it is smaller than the sum of its proper divisors (443772225792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

145912491648 is a wasteful number, since it uses less digits than its factorization.

145912491648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 664 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The spelling of 145912491648 in words is "one hundred forty-five billion, nine hundred twelve million, four hundred ninety-one thousand, six hundred forty-eight".