45476466455448 has 384 divisors, whose sum is σ = 153360616204800. Its totient is φ = 12426420771072.

The previous prime is 45476466455447. The next prime is 45476466455501. The reversal of 45476466455448 is 84455466467454.

It is a happy number.

45476466455448 is a `hidden beast` number, since 4 + 5 + 4 + 7 + 6 + 4 + 6 + 64 + 554 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45476466455447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2347405090 + ... + 2347424462.

It is an arithmetic number, because the mean of its divisors is an integer number (399376604700).

Almost surely, 2^{45476466455448} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45476466455448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76680308102400).

45476466455448 is an abundant number, since it is smaller than the sum of its proper divisors (107884149749352).

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

45476466455448 is a wasteful number, since it uses less digits than its factorization.

45476466455448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29068 (or 29051 counting only the distinct ones).

The product of its digits is 6193152000, while the sum is 72.

The spelling of 45476466455448 in words is "forty-five trillion, four hundred seventy-six billion, four hundred sixty-six million, four hundred fifty-five thousand, four hundred forty-eight".