46267711776264 has 64 divisors (see below), whose sum is σ = 126188154792000. Its totient is φ = 14020131352320.

The previous prime is 46267711776259. The next prime is 46267711776343.

46267711776264 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×46267711776264² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 46267711776195 and 46267711776204.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7225002 + ... + 12030630.

It is an arithmetic number, because the mean of its divisors is an integer number (1971689918625).

Almost surely, 2^{46267711776264} is an apocalyptic number.

46267711776264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46267711776264 is an abundant number, since it is smaller than the sum of its proper divisors (79920443015736).

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

46267711776264 is a wasteful number, since it uses less digits than its factorization.

46267711776264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4842118 (or 4842114 counting only the distinct ones).

The product of its digits is 199148544, while the sum is 66.

The spelling of 46267711776264 in words is "forty-six trillion, two hundred sixty-seven billion, seven hundred eleven million, seven hundred seventy-six thousand, two hundred sixty-four".