94294738500480 has 3072 divisors, whose sum is σ = 411016583577600. Its totient is φ = 20203764940800.

The previous prime is 94294738500461. The next prime is 94294738500553. The reversal of 94294738500480 is 8400583749249.

94294738500480 is a `hidden beast` number, since 9 + 4 + 2 + 9 + 4 + 73 + 85 + 0 + 0 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 262659438541 + ... + 262659438899.

It is an arithmetic number, because the mean of its divisors is an integer number (133794460800).

Almost surely, 2^{94294738500480} is an apocalyptic number.

94294738500480 is a gapful number since it is divisible by the number (90) 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 94294738500480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205508291788800).

94294738500480 is an abundant number, since it is smaller than the sum of its proper divisors (316721845077120).

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

94294738500480 is a wasteful number, since it uses less digits than its factorization.

94294738500480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 94294738500480 in words is "ninety-four trillion, two hundred ninety-four billion, seven hundred thirty-eight million, five hundred thousand, four hundred eighty".