264452042146152 has 256 divisors, whose sum is σ = 805127482828800. Its totient is φ = 70703902080000.

The previous prime is 264452042146121. The next prime is 264452042146199. The reversal of 264452042146152 is 251641240254462.

It is a super-2 number, since 2×264452042146152² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 134752827 + ... + 136701237.

It is an arithmetic number, because the mean of its divisors is an integer number (3145029229800).

Almost surely, 2^{264452042146152} 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 264452042146152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402563741414400).

264452042146152 is an abundant number, since it is smaller than the sum of its proper divisors (540675440682648).

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

264452042146152 is a wasteful number, since it uses less digits than its factorization.

264452042146152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948968 (or 1948964 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 48.

The spelling of 264452042146152 in words is "two hundred sixty-four trillion, four hundred fifty-two billion, forty-two million, one hundred forty-six thousand, one hundred fifty-two".