10738407856401 has 27 divisors (see below), whose sum is σ = 15673981546353. Its totient is φ = 7084505905920.

The previous prime is 10738407856399. The next prime is 10738407856411. The reversal of 10738407856401 is 10465870483701.

The square root of 10738407856401 is 3276951.

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

10738407856401 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 8 + 4 + 0 + 78 + 564 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3830573124225 + 6907834732176 = 1957185^2 + 2628276^2 .

It is not a de Polignac number, because 10738407856401 - 2¹ = 10738407856399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10738407856411) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 953587111 + ... + 953598371.

Almost surely, 2^{10738407856401} is an apocalyptic number.

10738407856401 is the 3276951-st square number.

10738407856401 is the 1638476-th centered octagonal number.

It is an amenable number.

10738407856401 is a deficient number, since it is larger than the sum of its proper divisors (4935573689952).

10738407856401 is an frugal number, since it uses more digits than its factorization.

10738407856401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22722 (or 11361 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 10738407856401 in words is "ten trillion, seven hundred thirty-eight billion, four hundred seven million, eight hundred fifty-six thousand, four hundred one".