4113631265664 has 32 divisors (see below), whose sum is σ = 10926833050440. Its totient is φ = 1371210421760.

The previous prime is 4113631265657. The next prime is 4113631265671. The reversal of 4113631265664 is 4665621363114.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4113631265657) and next prime (4113631265671).

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×4113631265664³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5356290327 + ... + 5356291094.

Almost surely, 2^{4113631265664} is an apocalyptic number.

It is an amenable number.

4113631265664 is an abundant number, since it is smaller than the sum of its proper divisors (6813201784776).

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

4113631265664 is a wasteful number, since it uses less digits than its factorization.

4113631265664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10712581438 (or 10712581426 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 48.

The spelling of 4113631265664 in words is "four trillion, one hundred thirteen billion, six hundred thirty-one million, two hundred sixty-five thousand, six hundred sixty-four".