45454299072 has 224 divisors, whose sum is σ = 152794435584. Its totient is φ = 11601100800.

The previous prime is 45454299071. The next prime is 45454299097. The reversal of 45454299072 is 27099245454.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×45454299072² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45454299071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 499672 + ... + 583592.

It is an arithmetic number, because the mean of its divisors is an integer number (682118016).

Almost surely, 2^45454299072 is an apocalyptic number.

45454299072 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 45454299072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76397217792).

45454299072 is an abundant number, since it is smaller than the sum of its proper divisors (107340136512).

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

45454299072 is a wasteful number, since it uses less digits than its factorization.

45454299072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83987 (or 83977 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The spelling of 45454299072 in words is "forty-five billion, four hundred fifty-four million, two hundred ninety-nine thousand, seventy-two".