46212461820810 has 240 divisors, whose sum is σ = 130194112245120. Its totient is φ = 11760627764160.

The previous prime is 46212461820773. The next prime is 46212461820823. The reversal of 46212461820810 is 1802816421264.

46212461820810 is a `hidden beast` number, since 4 + 6 + 2 + 1 + 2 + 4 + 618 + 20 + 8 + 1 + 0 = 666.

It is a super-2 number, since 2×46212461820810² (a number of 28 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 119 ways as a sum of consecutive naturals, for example, 187984275 + ... + 188229945.

It is an arithmetic number, because the mean of its divisors is an integer number (542475467688).

Almost surely, 2^{46212461820810} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46212461820810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65097056122560).

46212461820810 is an abundant number, since it is smaller than the sum of its proper divisors (83981650424310).

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

46212461820810 is a wasteful number, since it uses less digits than its factorization.

46212461820810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246175 (or 246143 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 46212461820810 in words is "forty-six trillion, two hundred twelve billion, four hundred sixty-one million, eight hundred twenty thousand, eight hundred ten".