45427106169600 has 432 divisors, whose sum is σ = 155079060971520. Its totient is φ = 11698576588800.

The previous prime is 45427106169583. The next prime is 45427106169727. The reversal of 45427106169600 is 696160172454.

It is a happy number.

It is a super-2 number, since 2×45427106169600² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 285021132 + ... + 285180468.

Almost surely, 2^{45427106169600} is an apocalyptic number.

45427106169600 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 45427106169600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77539530485760).

45427106169600 is an abundant number, since it is smaller than the sum of its proper divisors (109651954801920).

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

45427106169600 is a wasteful number, since it uses less digits than its factorization.

45427106169600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159876 (or 159857 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 45427106169600 in words is "forty-five trillion, four hundred twenty-seven billion, one hundred six million, one hundred sixty-nine thousand, six hundred".