45031505830920 has 1152 divisors, whose sum is σ = 176613319434240. Its totient is φ = 9914113843200.

The previous prime is 45031505830903. The next prime is 45031505830931. The reversal of 45031505830920 is 2903850513054.

45031505830920 is a `hidden beast` number, since 4 + 5 + 0 + 315 + 0 + 5 + 8 + 309 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 37746441844 + ... + 37746443036.

It is an arithmetic number, because the mean of its divisors is an integer number (153310173120).

Almost surely, 2^{45031505830920} is an apocalyptic number.

45031505830920 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 45031505830920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88306659717120).

45031505830920 is an abundant number, since it is smaller than the sum of its proper divisors (131581813603320).

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

45031505830920 is a wasteful number, since it uses less digits than its factorization.

45031505830920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1795 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 45031505830920 in words is "forty-five trillion, thirty-one billion, five hundred five million, eight hundred thirty thousand, nine hundred twenty".