46019106802944 has 720 divisors, whose sum is σ = 156642659357184. Its totient is φ = 13310322278400.

The previous prime is 46019106802909. The next prime is 46019106802961. The reversal of 46019106802944 is 44920860191064.

46019106802944 is a `hidden beast` number, since 4 + 601 + 9 + 1 + 0 + 6 + 8 + 0 + 29 + 4 + 4 = 666.

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

It is a congruent number.

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, 516136672 + ... + 516225824.

Almost surely, 2^{46019106802944} is an apocalyptic number.

46019106802944 is a gapful number since it is divisible by the number (44) 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 46019106802944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78321329678592).

46019106802944 is an abundant number, since it is smaller than the sum of its proper divisors (110623552554240).

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

46019106802944 is a wasteful number, since it uses less digits than its factorization.

46019106802944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89296 (or 89273 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 46019106802944 in words is "forty-six trillion, nineteen billion, one hundred six million, eight hundred two thousand, nine hundred forty-four".