151223223264 has 192 divisors, whose sum is σ = 407691325440. Its totient is φ = 49068264960.

The previous prime is 151223223251. The next prime is 151223223313. The reversal of 151223223264 is 462322322151.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 268602247 + ... + 268602809.

It is an arithmetic number, because the mean of its divisors is an integer number (2123392320).

Almost surely, 2^151223223264 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 151223223264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203845662720).

151223223264 is an abundant number, since it is smaller than the sum of its proper divisors (256468102176).

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

151223223264 is a wasteful number, since it uses less digits than its factorization.

151223223264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1085 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The spelling of 151223223264 in words is "one hundred fifty-one billion, two hundred twenty-three million, two hundred twenty-three thousand, two hundred sixty-four".