45982150080 has 112 divisors (see below), whose sum is σ = 146809480320. Its totient is φ = 12193358848.

The previous prime is 45982150057. The next prime is 45982150099. The reversal of 45982150080 is 8005128954.

It is a happy number.

It is a super-2 number, since 2×45982150080² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38047 + ... + 305633.

Almost surely, 2^45982150080 is an apocalyptic number.

45982150080 is a gapful number since it is divisible by the number (40) 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 45982150080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73404740160).

45982150080 is an abundant number, since it is smaller than the sum of its proper divisors (100827330240).

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

45982150080 is a wasteful number, since it uses less digits than its factorization.

45982150080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267786 (or 267776 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 42.

The spelling of 45982150080 in words is "forty-five billion, nine hundred eighty-two million, one hundred fifty thousand, eighty".