264466131115140 has 144 divisors (see below), whose sum is σ = 806667880964400. Its totient is φ = 70132766699520.

The previous prime is 264466131115127. The next prime is 264466131115181. The reversal of 264466131115140 is 41511131664462.

264466131115140 is a `hidden beast` number, since 2 + 6 + 4 + 4 + 6 + 6 + 13 + 111 + 514 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 50624818772544 + 213841312342596 = 7115112^2 + 14623314^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1531727536 + ... + 1531900184.

It is an arithmetic number, because the mean of its divisors is an integer number (5601860284475).

Almost surely, 2^{264466131115140} is an apocalyptic number.

264466131115140 is a gapful number since it is divisible by the number (20) 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 264466131115140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403333940482200).

264466131115140 is an abundant number, since it is smaller than the sum of its proper divisors (542201749849260).

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

264466131115140 is a wasteful number, since it uses less digits than its factorization.

264466131115140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219862 (or 219857 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 264466131115140 in words is "two hundred sixty-four trillion, four hundred sixty-six billion, one hundred thirty-one million, one hundred fifteen thousand, one hundred forty".