11461415364 has 81 divisors (see below), whose sum is σ = 33715245837. Its totient is φ = 3273405408.

The previous prime is 11461415359. The next prime is 11461415393. The reversal of 11461415364 is 46351416411.

The square root of 11461415364 is 107058.

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

11461415364 is a `hidden beast` number, since 1 + 1 + 4 + 614 + 1 + 5 + 36 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10597055364 + 864360000 = 102942^2 + 29400^2 .

It is a super-2 number, since 2×11461415364² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 4495162 + ... + 4497710.

Almost surely, 2^11461415364 is an apocalyptic number.

11461415364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

11461415364 is the 107058-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11461415364

11461415364 is an abundant number, since it is smaller than the sum of its proper divisors (22253830473).

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

11461415364 is an equidigital number, since it uses as much as digits as its factorization.

11461415364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5122 (or 2561 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

Multiplying 11461415364 by its sum of digits (36), we get a square (412610953104 = 642348²).

11461415364 divided by its sum of digits (36) gives a square (318372649 = 17843²).

The spelling of 11461415364 in words is "eleven billion, four hundred sixty-one million, four hundred fifteen thousand, three hundred sixty-four".