46213212165120 has 8448 divisors, whose sum is σ = 246892017254400. Its totient is φ = 8126654054400.

The previous prime is 46213212165103. The next prime is 46213212165137. The reversal of 46213212165120 is 2156121231264.

46213212165120 is a `hidden beast` number, since 4 + 6 + 2 + 13 + 2 + 121 + 6 + 512 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (46213212165103) and next prime (46213212165137).

It is a tau number, because it is divible by the number of its divisors (8448).

It is a super-2 number, since 2×46213212165120² (a number of 28 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 767 ways as a sum of consecutive naturals, for example, 1490748779505 + ... + 1490748779535.

Almost surely, 2^{46213212165120} is an apocalyptic number.

46213212165120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46213212165120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123446008627200).

46213212165120 is an abundant number, since it is smaller than the sum of its proper divisors (200678805089280).

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

46213212165120 is a wasteful number, since it uses less digits than its factorization.

46213212165120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 91 counting only the distinct ones).

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

Adding to 46213212165120 its reverse (2156121231264), we get a palindrome (48369333396384).

The spelling of 46213212165120 in words is "forty-six trillion, two hundred thirteen billion, two hundred twelve million, one hundred sixty-five thousand, one hundred twenty".