45531781641216 has 1408 divisors, whose sum is σ = 160764502080000. Its totient is φ = 12601330237440.

The previous prime is 45531781641113. The next prime is 45531781641221. The reversal of 45531781641216 is 61214618713554.

45531781641216 is a `hidden beast` number, since 4 + 5 + 53 + 178 + 1 + 6 + 412 + 1 + 6 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12080598180 + ... + 12080601948.

Almost surely, 2^{45531781641216} 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 45531781641216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80382251040000).

45531781641216 is an abundant number, since it is smaller than the sum of its proper divisors (115232720438784).

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

45531781641216 is a wasteful number, since it uses less digits than its factorization.

45531781641216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3920 (or 3896 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The spelling of 45531781641216 in words is "forty-five trillion, five hundred thirty-one billion, seven hundred eighty-one million, six hundred forty-one thousand, two hundred sixteen".