45971418780 has 600 divisors, whose sum is σ = 172182713472. Its totient is φ = 10263262464.

The previous prime is 45971418769. The next prime is 45971418803. The reversal of 45971418780 is 8781417954.

45971418780 is a `hidden beast` number, since 4 + 597 + 1 + 41 + 8 + 7 + 8 + 0 = 666.

It is a super-2 number, since 2×45971418780² (a number of 22 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 206149749 + ... + 206149971.

Almost surely, 2^45971418780 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45971418780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86091356736).

45971418780 is an abundant number, since it is smaller than the sum of its proper divisors (126211294692).

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

45971418780 is a wasteful number, since it uses less digits than its factorization.

45971418780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 45971418780 in words is "forty-five billion, nine hundred seventy-one million, four hundred eighteen thousand, seven hundred eighty".