153969069344832 has 672 divisors, whose sum is σ = 518886208189440. Its totient is φ = 42734730608640.

The previous prime is 153969069344821. The next prime is 153969069344851. The reversal of 153969069344832 is 238443960969351.

153969069344832 is a `hidden beast` number, since 1 + 5 + 3 + 9 + 6 + 90 + 6 + 93 + 448 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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, 49081627168 + ... + 49081630304.

It is an arithmetic number, because the mean of its divisors is an integer number (772152095520).

Almost surely, 2^{153969069344832} is an apocalyptic number.

153969069344832 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 153969069344832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259443104094720).

153969069344832 is an abundant number, since it is smaller than the sum of its proper divisors (364917138844608).

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

153969069344832 is a wasteful number, since it uses less digits than its factorization.

153969069344832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4379 (or 4366 counting only the distinct ones).

The product of its (nonzero) digits is 906992640, while the sum is 72.

The spelling of 153969069344832 in words is "one hundred fifty-three trillion, nine hundred sixty-nine billion, sixty-nine million, three hundred forty-four thousand, eight hundred thirty-two".