11738401038225 has 27 divisors (see below), whose sum is σ = 21024872575473. Its totient is φ = 6260453144640.

The previous prime is 11738401038179. The next prime is 11738401038253. The reversal of 11738401038225 is 52283010483711.

The square root of 11738401038225 is 3426135.

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

11738401038225 is a `hidden beast` number, since 1 + 1 + 7 + 384 + 0 + 10 + 38 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1220651538561 + 10517749499664 = 1104831^2 + 3243108^2 .

It is not a de Polignac number, because 11738401038225 - 2²⁹ = 11737864167313 is a prime.

It is a super-2 number, since 2×11738401038225² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 51277821 + ... + 51506229.

Almost surely, 2^{11738401038225} is an apocalyptic number.

11738401038225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11738401038225 is the 3426135-th square number.

11738401038225 is the 1713068-th centered octagonal number.

It is an amenable number.

11738401038225 is a deficient number, since it is larger than the sum of its proper divisors (9286471537248).

11738401038225 is an frugal number, since it uses more digits than its factorization.

11738401038225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456834 (or 228417 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 11738401038225 in words is "eleven trillion, seven hundred thirty-eight billion, four hundred one million, thirty-eight thousand, two hundred twenty-five".