245375431935264 has 144 divisors (see below), whose sum is σ = 702249972049080. Its totient is φ = 81268634603520.

The previous prime is 245375431935223. The next prime is 245375431935281. The reversal of 245375431935264 is 462539134573542.

245375431935264 is a `hidden beast` number, since 2 + 4 + 5 + 3 + 7 + 5 + 431 + 93 + 52 + 64 = 666.

245375431935264 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 133021622250000 + 112353809685264 = 11533500^2 + 10599708^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3171456772 + ... + 3171534140.

Almost surely, 2^{245375431935264} is an apocalyptic number.

245375431935264 is a gapful number since it is divisible by the number (24) 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 245375431935264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351124986024540).

245375431935264 is an abundant number, since it is smaller than the sum of its proper divisors (456874540113816).

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

245375431935264 is a wasteful number, since it uses less digits than its factorization.

245375431935264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147683 (or 147672 counting only the distinct ones).

The product of its digits is 326592000, while the sum is 63.

The spelling of 245375431935264 in words is "two hundred forty-five trillion, three hundred seventy-five billion, four hundred thirty-one million, nine hundred thirty-five thousand, two hundred sixty-four".