45676154880 has 832 divisors, whose sum is σ = 177491761920. Its totient is φ = 11098128384.

The previous prime is 45676154851. The next prime is 45676154893. The reversal of 45676154880 is 8845167654.

45676154880 is a `hidden beast` number, since 45 + 67 + 61 + 5 + 488 + 0 = 666.

It is a super-2 number, since 2×45676154880² (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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 404213704 + ... + 404213816.

Almost surely, 2^45676154880 is an apocalyptic number.

45676154880 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 45676154880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88745880960).

45676154880 is an abundant number, since it is smaller than the sum of its proper divisors (131815607040).

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

45676154880 is a wasteful number, since it uses less digits than its factorization.

45676154880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 45676154880 in words is "forty-five billion, six hundred seventy-six million, one hundred fifty-four thousand, eight hundred eighty".