46116767854080 has 5120 divisors, whose sum is σ = 225434028441600. Its totient is φ = 8645498634240.

The previous prime is 46116767854039. The next prime is 46116767854127. The reversal of 46116767854080 is 8045876761164.

46116767854080 is a `hidden beast` number, since 4 + 6 + 1 + 1 + 6 + 7 + 6 + 7 + 8 + 540 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 46116767853999 and 46116767854017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 282924956079 + ... + 282924956241.

It is an arithmetic number, because the mean of its divisors is an integer number (44030083680).

Almost surely, 2^{46116767854080} is an apocalyptic number.

46116767854080 is a gapful number since it is divisible by the number (40) 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 46116767854080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112717014220800).

46116767854080 is an abundant number, since it is smaller than the sum of its proper divisors (179317260587520).

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

46116767854080 is a wasteful number, since it uses less digits than its factorization.

46116767854080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 46116767854080 in words is "forty-six trillion, one hundred sixteen billion, seven hundred sixty-seven million, eight hundred fifty-four thousand, eighty".