45061355472 has 160 divisors (see below), whose sum is σ = 144558366720. Its totient is φ = 11803553280.

The previous prime is 45061355461. The next prime is 45061355483. The reversal of 45061355472 is 27455316054.

It is an interprime number because it is at equal distance from previous prime (45061355461) and next prime (45061355483).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84058 + ... + 311750.

It is an arithmetic number, because the mean of its divisors is an integer number (903489792).

Almost surely, 2^45061355472 is an apocalyptic number.

45061355472 is a gapful number since it is divisible by the number (42) 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 45061355472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72279183360).

45061355472 is an abundant number, since it is smaller than the sum of its proper divisors (99497011248).

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

45061355472 is a wasteful number, since it uses less digits than its factorization.

45061355472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227761 (or 227755 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 42.

The spelling of 45061355472 in words is "forty-five billion, sixty-one million, three hundred fifty-five thousand, four hundred seventy-two".