45689952043008 has 2304 divisors, whose sum is σ = 177870865011840. Its totient is φ = 10996659781632.

The previous prime is 45689952042919. The next prime is 45689952043019. The reversal of 45689952043008 is 80034025998654.

45689952043008 is a `hidden beast` number, since 4 + 5 + 68 + 9 + 9 + 520 + 43 + 0 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 333503299516 + ... + 333503299652.

Almost surely, 2^{45689952043008} is an apocalyptic number.

45689952043008 is a gapful number since it is divisible by the number (48) 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 45689952043008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88935432505920).

45689952043008 is an abundant number, since it is smaller than the sum of its proper divisors (132180912968832).

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

45689952043008 is a wasteful number, since it uses less digits than its factorization.

45689952043008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 45689952043008 in words is "forty-five trillion, six hundred eighty-nine billion, nine hundred fifty-two million, forty-three thousand, eight".