46735673544 has 320 divisors, whose sum is σ = 156810192000. Its totient is φ = 12989870208.

The previous prime is 46735673519. The next prime is 46735673591. The reversal of 46735673544 is 44537653764.

46735673544 is a `hidden beast` number, since 4 + 6 + 7 + 3 + 567 + 35 + 44 = 666.

It is a super-2 number, since 2×46735673544² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8220927 + ... + 8226609.

It is an arithmetic number, because the mean of its divisors is an integer number (490031850).

Almost surely, 2^46735673544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46735673544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78405096000).

46735673544 is an abundant number, since it is smaller than the sum of its proper divisors (110074518456).

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

46735673544 is a wasteful number, since it uses less digits than its factorization.

46735673544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5759 (or 5732 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 54.

The spelling of 46735673544 in words is "forty-six billion, seven hundred thirty-five million, six hundred seventy-three thousand, five hundred forty-four".