46116919006344 has 128 divisors (see below), whose sum is σ = 128576527632000. Its totient is φ = 15315459409152.

The previous prime is 46116919006339. The next prime is 46116919006373. The reversal of 46116919006344 is 44360091961164.

46116919006344 is a `hidden beast` number, since 4 + 611 + 6 + 9 + 19 + 0 + 0 + 6 + 3 + 4 + 4 = 666.

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 31 ways as a sum of consecutive naturals, for example, 225012987 + ... + 225217845.

It is an arithmetic number, because the mean of its divisors is an integer number (1004504122125).

Almost surely, 2^{46116919006344} 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 46116919006344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64288263816000).

46116919006344 is an abundant number, since it is smaller than the sum of its proper divisors (82459608625656).

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

46116919006344 is a wasteful number, since it uses less digits than its factorization.

46116919006344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208724 (or 208714 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 46116919006344 in words is "forty-six trillion, one hundred sixteen billion, nine hundred nineteen million, six thousand, three hundred forty-four".