46013653620 has 288 divisors, whose sum is σ = 157356815616. Its totient is φ = 10785484800.

The previous prime is 46013653607. The next prime is 46013653643. The reversal of 46013653620 is 2635631064.

46013653620 is a `hidden beast` number, since 460 + 136 + 5 + 3 + 62 + 0 = 666.

It is a super-2 number, since 2×46013653620² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12232540 + ... + 12236300.

It is an arithmetic number, because the mean of its divisors is an integer number (546377832).

Almost surely, 2^46013653620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46013653620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78678407808).

46013653620 is an abundant number, since it is smaller than the sum of its proper divisors (111343161996).

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

46013653620 is a wasteful number, since it uses less digits than its factorization.

46013653620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3991 (or 3986 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 46013653620 in words is "forty-six billion, thirteen million, six hundred fifty-three thousand, six hundred twenty".