94254800640 has 1728 divisors, whose sum is σ = 428421353472. Its totient is φ = 17340825600.

The previous prime is 94254800617. The next prime is 94254800681. The reversal of 94254800640 is 4600845249.

It is a super-2 number, since 2×94254800640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 94254800592 and 94254800601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 834113224 + ... + 834113336.

It is an arithmetic number, because the mean of its divisors is an integer number (247929024).

Almost surely, 2^94254800640 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 94254800640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214210676736).

94254800640 is an abundant number, since it is smaller than the sum of its proper divisors (334166552832).

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

94254800640 is a wasteful number, since it uses less digits than its factorization.

94254800640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 94254800640 in words is "ninety-four billion, two hundred fifty-four million, eight hundred thousand, six hundred forty".