145788792864 has 384 divisors, whose sum is σ = 471925149696. Its totient is φ = 38776320000.

The previous prime is 145788792833. The next prime is 145788792907. The reversal of 145788792864 is 468297887541.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57148389 + ... + 57150939.

It is an arithmetic number, because the mean of its divisors is an integer number (1228971744).

Almost surely, 2^145788792864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145788792864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235962574848).

145788792864 is an abundant number, since it is smaller than the sum of its proper divisors (326136356832).

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

145788792864 is a wasteful number, since it uses less digits than its factorization.

145788792864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2792 (or 2784 counting only the distinct ones).

The product of its digits is 216760320, while the sum is 69.

The spelling of 145788792864 in words is "one hundred forty-five billion, seven hundred eighty-eight million, seven hundred ninety-two thousand, eight hundred sixty-four".