45782319744 has 1344 divisors, whose sum is σ = 183015417600. Its totient is φ = 11287019520.

The previous prime is 45782319721. The next prime is 45782319757. The reversal of 45782319744 is 44791328754.

45782319744 is a `hidden beast` number, since 4 + 578 + 23 + 1 + 9 + 7 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×45782319744² (a number of 22 digits) contains 22 as substring.

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 167 ways as a sum of consecutive naturals, for example, 1476849009 + ... + 1476849039.

Almost surely, 2^45782319744 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 45782319744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91507708800).

45782319744 is an abundant number, since it is smaller than the sum of its proper divisors (137233097856).

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

45782319744 is a wasteful number, since it uses less digits than its factorization.

45782319744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 79 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 45782319744 in words is "forty-five billion, seven hundred eighty-two million, three hundred nineteen thousand, seven hundred forty-four".