145575011922048 has 768 divisors, whose sum is σ = 464606411068800. Its totient is φ = 45289207627776.

The previous prime is 145575011922037. The next prime is 145575011922073. The reversal of 145575011922048 is 840229110575541.

145575011922048 is a `hidden beast` number, since 1 + 4 + 5 + 5 + 7 + 501 + 1 + 92 + 2 + 0 + 48 = 666.

145575011922048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×145575011922048³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 145575011921985 and 145575011922003.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3762289390 + ... + 3762328082.

Almost surely, 2^{145575011922048} is an apocalyptic number.

145575011922048 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 145575011922048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232303205534400).

145575011922048 is an abundant number, since it is smaller than the sum of its proper divisors (319031399146752).

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

145575011922048 is an equidigital number, since it uses as much as digits as its factorization.

145575011922048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38891 (or 38867 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 54.

The spelling of 145575011922048 in words is "one hundred forty-five trillion, five hundred seventy-five billion, eleven million, nine hundred twenty-two thousand, forty-eight".