10470349867264 has 243 divisors, whose sum is σ = 24600660442617. Its totient is φ = 4434639992832.

The previous prime is 10470349867249. The next prime is 10470349867283. The reversal of 10470349867264 is 46276894307401.

The square root of 10470349867264 is 3235792.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 9524383545600 + 945966321664 = 3086160^2 + 972608^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 60522253482 + ... + 60522253654.

Almost surely, 2^{10470349867264} is an apocalyptic number.

10470349867264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10470349867264 is the 3235792-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10470349867264

10470349867264 is an abundant number, since it is smaller than the sum of its proper divisors (14130310575353).

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

10470349867264 is an frugal number, since it uses more digits than its factorization.

10470349867264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 61.

The spelling of 10470349867264 in words is "ten trillion, four hundred seventy billion, three hundred forty-nine million, eight hundred sixty-seven thousand, two hundred sixty-four".