45451631016 has 96 divisors (see below), whose sum is σ = 134477366400. Its totient is φ = 13753893120.

The previous prime is 45451630969. The next prime is 45451631039. The reversal of 45451631016 is 61013615454.

45451631016 is a `hidden beast` number, since 4 + 5 + 4 + 5 + 1 + 631 + 0 + 16 = 666.

It is a super-2 number, since 2×45451631016² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 529540 + ... + 609356.

It is an arithmetic number, because the mean of its divisors is an integer number (1400805900).

Almost surely, 2^45451631016 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 45451631016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67238683200).

45451631016 is an abundant number, since it is smaller than the sum of its proper divisors (89025735384).

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

45451631016 is a wasteful number, since it uses less digits than its factorization.

45451631016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80559 (or 80552 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 45451631016 in words is "forty-five billion, four hundred fifty-one million, six hundred thirty-one thousand, sixteen".