46677599577664 has 112 divisors (see below), whose sum is σ = 102054850292736. Its totient is φ = 21005374464000.

The previous prime is 46677599577643. The next prime is 46677599577683.

46677599577664 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (88).

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, 1669010209 + ... + 1669038175.

Almost surely, 2^{46677599577664} is an apocalyptic number.

46677599577664 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 46677599577664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51027425146368).

46677599577664 is an abundant number, since it is smaller than the sum of its proper divisors (55377250715072).

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

46677599577664 is a wasteful number, since it uses less digits than its factorization.

46677599577664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51564 (or 51554 counting only the distinct ones).

The product of its digits is 100818950400, while the sum is 88.

The spelling of 46677599577664 in words is "forty-six trillion, six hundred seventy-seven billion, five hundred ninety-nine million, five hundred seventy-seven thousand, six hundred sixty-four".