145899365711904 has 960 divisors, whose sum is σ = 539238427047936. Its totient is φ = 37748851531776.

The previous prime is 145899365711893. The next prime is 145899365711929. The reversal of 145899365711904 is 409117563998541.

145899365711904 is a `hidden beast` number, since 1 + 4 + 5 + 8 + 9 + 9 + 36 + 571 + 19 + 0 + 4 = 666.

145899365711904 is digitally balanced in base 3, 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 (72).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 888556597 + ... + 888720779.

Almost surely, 2^{145899365711904} is an apocalyptic number.

145899365711904 is a gapful number since it is divisible by the number (14) 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 145899365711904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269619213523968).

145899365711904 is an abundant number, since it is smaller than the sum of its proper divisors (393339061336032).

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

145899365711904 is a wasteful number, since it uses less digits than its factorization.

145899365711904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164339 (or 164322 counting only the distinct ones).

The product of its (nonzero) digits is 293932800, while the sum is 72.

The spelling of 145899365711904 in words is "one hundred forty-five trillion, eight hundred ninety-nine billion, three hundred sixty-five million, seven hundred eleven thousand, nine hundred four".