45525779477568 has 168 divisors, whose sum is σ = 146639196045888. Its totient is φ = 13398891568128.

The previous prime is 45525779477567. The next prime is 45525779477569. The reversal of 45525779477568 is 86577497752554.

45525779477568 is a `hidden beast` number, since 4 + 5 + 5 + 2 + 5 + 7 + 7 + 9 + 47 + 7 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (45525779477567) and next prime (45525779477569).

It is a super-3 number, since 3×45525779477568³ (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (45525779477567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131998030 + ... + 132342477.

It is an arithmetic number, because the mean of its divisors is an integer number (872852357416).

Almost surely, 2^{45525779477568} is an apocalyptic number.

45525779477568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45525779477568 is an abundant number, since it is smaller than the sum of its proper divisors (101113416568320).

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

45525779477568 is a wasteful number, since it uses less digits than its factorization.

45525779477568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264340561 (or 264340548 counting only the distinct ones).

The product of its digits is 20744640000, while the sum is 81.

The spelling of 45525779477568 in words is "forty-five trillion, five hundred twenty-five billion, seven hundred seventy-nine million, four hundred seventy-seven thousand, five hundred sixty-eight".