151345223504496 has 960 divisors, whose sum is σ = 542752404480000. Its totient is φ = 39198042132480.

The previous prime is 151345223504437. The next prime is 151345223504537. The reversal of 151345223504496 is 694405322543151.

151345223504496 is a `hidden beast` number, since 1 + 5 + 1 + 3 + 45 + 2 + 2 + 3 + 504 + 4 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2589148806 + ... + 2589207258.

It is an arithmetic number, because the mean of its divisors is an integer number (565367088000).

Almost surely, 2^{151345223504496} is an apocalyptic number.

151345223504496 is a gapful number since it is divisible by the number (16) 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 151345223504496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271376202240000).

151345223504496 is an abundant number, since it is smaller than the sum of its proper divisors (391407180975504).

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

151345223504496 is a wasteful number, since it uses less digits than its factorization.

151345223504496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58627 (or 58604 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 151345223504496 in words is "one hundred fifty-one trillion, three hundred forty-five billion, two hundred twenty-three million, five hundred four thousand, four hundred ninety-six".