946253197440 has 448 divisors, whose sum is σ = 3416287795200. Its totient is φ = 250501662720.

The previous prime is 946253197423. The next prime is 946253197453. The reversal of 946253197440 is 44791352649.

946253197440 is a `hidden beast` number, since 9 + 4 + 6 + 2 + 5 + 3 + 197 + 440 = 666.

It is a super-2 number, since 2×946253197440² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 64844545 + ... + 64859135.

It is an arithmetic number, because the mean of its divisors is an integer number (7625642400).

Almost surely, 2^946253197440 is an apocalyptic number.

946253197440 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 946253197440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1708143897600).

946253197440 is an abundant number, since it is smaller than the sum of its proper divisors (2470034597760).

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

946253197440 is a wasteful number, since it uses less digits than its factorization.

946253197440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14767 (or 14740 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 946253197440 in words is "nine hundred forty-six billion, two hundred fifty-three million, one hundred ninety-seven thousand, four hundred forty".