145648249992 has 384 divisors, whose sum is σ = 501396480000. Its totient is φ = 37250938368.

The previous prime is 145648249991. The next prime is 145648250003. The reversal of 145648249992 is 299942846541.

145648249992 is a `hidden beast` number, since 1 + 4 + 5 + 64 + 82 + 499 + 9 + 2 = 666.

145648249992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (145648249991) 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 95 ways as a sum of consecutive naturals, for example, 13046509 + ... + 13057667.

It is an arithmetic number, because the mean of its divisors is an integer number (1305720000).

Almost surely, 2^145648249992 is an apocalyptic number.

145648249992 is a gapful number since it is divisible by the number (12) 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 145648249992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250698240000).

145648249992 is an abundant number, since it is smaller than the sum of its proper divisors (355748230008).

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

145648249992 is a wasteful number, since it uses less digits than its factorization.

145648249992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11273 (or 11266 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 63.

The spelling of 145648249992 in words is "one hundred forty-five billion, six hundred forty-eight million, two hundred forty-nine thousand, nine hundred ninety-two".