94899505605408 has 1536 divisors, whose sum is σ = 344672133120000. Its totient is φ = 25351447080960.

The previous prime is 94899505605407. The next prime is 94899505605449. The reversal of 94899505605408 is 80450650599849.

94899505605408 is a `hidden beast` number, since 9 + 4 + 8 + 9 + 9 + 5 + 0 + 5 + 605 + 4 + 0 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (94899505605407) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 32622723058 + ... + 32622725966.

It is an arithmetic number, because the mean of its divisors is an integer number (224395920000).

Almost surely, 2^{94899505605408} is an apocalyptic number.

94899505605408 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94899505605408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172336066560000).

94899505605408 is an abundant number, since it is smaller than the sum of its proper divisors (249772627514592).

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

94899505605408 is a wasteful number, since it uses less digits than its factorization.

94899505605408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3100 (or 3072 counting only the distinct ones).

The product of its (nonzero) digits is 559872000, while the sum is 72.

The spelling of 94899505605408 in words is "ninety-four trillion, eight hundred ninety-nine billion, five hundred five million, six hundred five thousand, four hundred eight".