46618254621960 has 512 divisors, whose sum is σ = 170241398784000. Its totient is φ = 9969315840000.

The previous prime is 46618254621919. The next prime is 46618254621979. The reversal of 46618254621960 is 6912645281664.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 46618254621894 and 46618254621903.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3390165085 + ... + 3390178835.

It is an arithmetic number, because the mean of its divisors is an integer number (332502732000).

Almost surely, 2^{46618254621960} is an apocalyptic number.

46618254621960 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 46618254621960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85120699392000).

46618254621960 is an abundant number, since it is smaller than the sum of its proper divisors (123623144162040).

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

46618254621960 is a wasteful number, since it uses less digits than its factorization.

46618254621960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15181 (or 15177 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 60.

The spelling of 46618254621960 in words is "forty-six trillion, six hundred eighteen billion, two hundred fifty-four million, six hundred twenty-one thousand, nine hundred sixty".