46611066011664 has 360 divisors, whose sum is σ = 154518431479104. Its totient is φ = 12063043238400.

The previous prime is 46611066011539. The next prime is 46611066011753.

46611066011664 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 78536349 + ... + 79127619.

Almost surely, 2^{46611066011664} is an apocalyptic number.

46611066011664 is a gapful number since it is divisible by the number (44) 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 46611066011664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77259215739552).

46611066011664 is an abundant number, since it is smaller than the sum of its proper divisors (107907365467440).

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

46611066011664 is a wasteful number, since it uses less digits than its factorization.

46611066011664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591595 (or 591571 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 46611066011664 in words is "forty-six trillion, six hundred eleven billion, sixty-six million, eleven thousand, six hundred sixty-four".