99045177706368 has 768 divisors, whose sum is σ = 319067739057600. Its totient is φ = 29343567052800.

The previous prime is 99045177706367. The next prime is 99045177706403. The reversal of 99045177706368 is 86360777154099.

It is a happy number.

99045177706368 is a `hidden beast` number, since 9 + 9 + 0 + 4 + 517 + 7 + 70 + 6 + 36 + 8 = 666.

99045177706368 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 99045177706296 and 99045177706305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99045177706367) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9963296278 + ... + 9963306218.

Almost surely, 2^{99045177706368} 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 99045177706368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159533869528800).

99045177706368 is an abundant number, since it is smaller than the sum of its proper divisors (220022561351232).

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

99045177706368 is a wasteful number, since it uses less digits than its factorization.

99045177706368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10391 (or 10376 counting only the distinct ones).

The product of its (nonzero) digits is 480090240, while the sum is 72.

The spelling of 99045177706368 in words is "ninety-nine trillion, forty-five billion, one hundred seventy-seven million, seven hundred six thousand, three hundred sixty-eight".