46160622444960 has 288 divisors, whose sum is σ = 157713404546880. Its totient is φ = 12294639366144.

The previous prime is 46160622444953. The next prime is 46160622445027. The reversal of 46160622444960 is 6944422606164.

46160622444960 is a `hidden beast` number, since 4 + 6 + 1 + 6 + 0 + 622 + 4 + 4 + 4 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×46160622444960² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 46160622444897 and 46160622444906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6039590899 + ... + 6039598541.

It is an arithmetic number, because the mean of its divisors is an integer number (547615988010).

Almost surely, 2^{46160622444960} is an apocalyptic number.

46160622444960 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 46160622444960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78856702273440).

46160622444960 is an abundant number, since it is smaller than the sum of its proper divisors (111552782101920).

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

46160622444960 is a wasteful number, since it uses less digits than its factorization.

46160622444960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12180 (or 12169 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 46160622444960 in words is "forty-six trillion, one hundred sixty billion, six hundred twenty-two million, four hundred forty-four thousand, nine hundred sixty".