145864747392 has 768 divisors, whose sum is σ = 520912465920. Its totient is φ = 35174891520.

The previous prime is 145864747381. The next prime is 145864747421. The reversal of 145864747392 is 293747468541.

Its product of digits (40642560) is a multiple of the sum of its prime divisors (448).

It is a congruent number.

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, 391058118 + ... + 391058490.

It is an arithmetic number, because the mean of its divisors is an integer number (678271440).

Almost surely, 2^145864747392 is an apocalyptic number.

145864747392 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 145864747392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260456232960).

145864747392 is an abundant number, since it is smaller than the sum of its proper divisors (375047718528).

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

145864747392 is a wasteful number, since it uses less digits than its factorization.

145864747392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 448 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 60.

The spelling of 145864747392 in words is "one hundred forty-five billion, eight hundred sixty-four million, seven hundred forty-seven thousand, three hundred ninety-two".