44157262968 has 768 divisors, whose sum is σ = 163860480000. Its totient is φ = 10946057472.

The previous prime is 44157262967. The next prime is 44157262979. The reversal of 44157262968 is 86926275144.

44157262968 is a `hidden beast` number, since 4 + 4 + 1 + 5 + 7 + 2 + 629 + 6 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44157262967) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 347694921 + ... + 347695047.

It is an arithmetic number, because the mean of its divisors is an integer number (213360000).

Almost surely, 2^44157262968 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 44157262968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81930240000).

44157262968 is an abundant number, since it is smaller than the sum of its proper divisors (119703217032).

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

44157262968 is a wasteful number, since it uses less digits than its factorization.

44157262968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 171 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 44157262968 in words is "forty-four billion, one hundred fifty-seven million, two hundred sixty-two thousand, nine hundred sixty-eight".