153429704064 has 1024 divisors, whose sum is σ = 582294988800. Its totient is φ = 38698352640.

The previous prime is 153429704047. The next prime is 153429704149. The reversal of 153429704064 is 460407924351.

153429704064 is a `hidden beast` number, since 1 + 534 + 2 + 9 + 70 + 40 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 941286447 + ... + 941286609.

It is an arithmetic number, because the mean of its divisors is an integer number (568647450).

Almost surely, 2^153429704064 is an apocalyptic number.

153429704064 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 153429704064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291147494400).

153429704064 is an abundant number, since it is smaller than the sum of its proper divisors (428865284736).

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

153429704064 is a wasteful number, since it uses less digits than its factorization.

153429704064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 153429704064 in words is "one hundred fifty-three billion, four hundred twenty-nine million, seven hundred four thousand, sixty-four".