10478615710761 has 81 divisors (see below), whose sum is σ = 16748338446021. Its totient is φ = 6308400067200.

The previous prime is 10478615710657. The next prime is 10478615710789. The reversal of 10478615710761 is 16701751687401.

The square root of 10478615710761 is 3237069.

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

10478615710761 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 8 + 6 + 1 + 571 + 0 + 7 + 61 = 666.

10478615710761 is digitally balanced in base 2, because in such base 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 7741721936025 + 2736893774736 = 2782395^2 + 1654356^2 .

It is not a de Polignac number, because 10478615710761 - 2²¹ = 10478613613609 is a prime.

It is a super-2 number, since 2×10478615710761² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10478615710698 and 10478615710707.

It is not an unprimeable number, because it can be changed into a prime (10478615715761) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 24889823331 + ... + 24889823751.

Almost surely, 2^{10478615710761} is an apocalyptic number.

10478615710761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10478615710761 is the 3237069-th square number.

10478615710761 is the 1618535-th centered octagonal number.

It is an amenable number.

10478615710761 is a deficient number, since it is larger than the sum of its proper divisors (6269722735260).

10478615710761 is an frugal number, since it uses more digits than its factorization.

10478615710761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 54.

The spelling of 10478615710761 in words is "ten trillion, four hundred seventy-eight billion, six hundred fifteen million, seven hundred ten thousand, seven hundred sixty-one".