45416630428344 has 512 divisors, whose sum is σ = 146919370752000. Its totient is φ = 12732197068800.

The previous prime is 45416630428307. The next prime is 45416630428387. The reversal of 45416630428344 is 44382403661454.

45416630428344 is a `hidden beast` number, since 4 + 5 + 4 + 16 + 6 + 304 + 283 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11848845052 + ... + 11848848884.

It is an arithmetic number, because the mean of its divisors is an integer number (286951896000).

Almost surely, 2^{45416630428344} 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 45416630428344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73459685376000).

45416630428344 is an abundant number, since it is smaller than the sum of its proper divisors (101502740323656).

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

45416630428344 is a wasteful number, since it uses less digits than its factorization.

45416630428344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4596 (or 4586 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 54.

The spelling of 45416630428344 in words is "forty-five trillion, four hundred sixteen billion, six hundred thirty million, four hundred twenty-eight thousand, three hundred forty-four".