78943251456 has 352 divisors, whose sum is σ = 242102784000. Its totient is φ = 25395462144.

The previous prime is 78943251433. The next prime is 78943251461. The reversal of 78943251456 is 65415234987.

It is a happy number.

78943251456 is a `hidden beast` number, since 7 + 8 + 94 + 32 + 514 + 5 + 6 = 666.

It is a super-2 number, since 2×78943251456² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

Its product of digits (7257600) is a multiple of the sum of its prime divisors (900).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102656640 + ... + 102657408.

It is an arithmetic number, because the mean of its divisors is an integer number (687792000).

Almost surely, 2^78943251456 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 78943251456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121051392000).

78943251456 is an abundant number, since it is smaller than the sum of its proper divisors (163159532544).

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

78943251456 is a wasteful number, since it uses less digits than its factorization.

78943251456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 900 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 78943251456 in words is "seventy-eight billion, nine hundred forty-three million, two hundred fifty-one thousand, four hundred fifty-six".