46011577511064 has 64 divisors (see below), whose sum is σ = 125486979770880. Its totient is φ = 13942806800000.

The previous prime is 46011577511033. The next prime is 46011577511069.

46011577511064 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46011577511069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44461114 + ... + 45484214.

It is an arithmetic number, because the mean of its divisors is an integer number (1960734058920).

Almost surely, 2^{46011577511064} is an apocalyptic number.

46011577511064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46011577511064 is an abundant number, since it is smaller than the sum of its proper divisors (79475402259816).

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

46011577511064 is a wasteful number, since it uses less digits than its factorization.

46011577511064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193472 (or 1193468 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 48.

The spelling of 46011577511064 in words is "forty-six trillion, eleven billion, five hundred seventy-seven million, five hundred eleven thousand, sixty-four".