46817670144 has 528 divisors, whose sum is σ = 152933498880. Its totient is φ = 12680478720.

The previous prime is 46817670139. The next prime is 46817670239. The reversal of 46817670144 is 44107671864.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 46817670093 and 46817670102.

It is a congruent number.

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, 368643009 + ... + 368643135.

Almost surely, 2^46817670144 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 46817670144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76466749440).

46817670144 is an abundant number, since it is smaller than the sum of its proper divisors (106115828736).

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

46817670144 is a wasteful number, since it uses less digits than its factorization.

46817670144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The spelling of 46817670144 in words is "forty-six billion, eight hundred seventeen million, six hundred seventy thousand, one hundred forty-four".