264401505104462 has 48 divisors (see below), whose sum is σ = 436759975016736. Its totient is φ = 119955006388800.

The previous prime is 264401505104419. The next prime is 264401505104467.

264401505104462 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264401505104467) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5562459248 + ... + 5562506780.

It is an arithmetic number, because the mean of its divisors is an integer number (9099166146182).

Almost surely, 2^{264401505104462} is an apocalyptic number.

264401505104462 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

264401505104462 is a deficient number, since it is larger than the sum of its proper divisors (172358469912274).

264401505104462 is a wasteful number, since it uses less digits than its factorization.

264401505104462 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90585 (or 90574 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 44.

The spelling of 264401505104462 in words is "two hundred sixty-four trillion, four hundred one billion, five hundred five million, one hundred four thousand, four hundred sixty-two".