45923330234880 has 1920 divisors, whose sum is σ = 191396824819200. Its totient is φ = 10166926049280.

The previous prime is 45923330234867. The next prime is 45923330234891. The reversal of 45923330234880 is 8843203332954.

It is a happy number.

45923330234880 is a `hidden beast` number, since 4 + 59 + 23 + 330 + 234 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-3 number, since 3×45923330234880³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34764064620 + ... + 34764065940.

It is an arithmetic number, because the mean of its divisors is an integer number (99685846260).

Almost surely, 2^{45923330234880} is an apocalyptic number.

45923330234880 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 45923330234880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95698412409600).

45923330234880 is an abundant number, since it is smaller than the sum of its proper divisors (145473494584320).

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

45923330234880 is a wasteful number, since it uses less digits than its factorization.

45923330234880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1507 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 45923330234880 in words is "forty-five trillion, nine hundred twenty-three billion, three hundred thirty million, two hundred thirty-four thousand, eight hundred eighty".