78264189144 has 128 divisors (see below), whose sum is σ = 230620132800. Its totient is φ = 24507463680.

The previous prime is 78264189121. The next prime is 78264189173. The reversal of 78264189144 is 44198146287.

78264189144 is a `hidden beast` number, since 7 + 82 + 6 + 418 + 9 + 144 = 666.

It is a super-2 number, since 2×78264189144² (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).

It is a congruent number.

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, 1966854 + ... + 2006250.

Almost surely, 2^78264189144 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 78264189144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115310066400).

78264189144 is an abundant number, since it is smaller than the sum of its proper divisors (152355943656).

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

78264189144 is a wasteful number, since it uses less digits than its factorization.

78264189144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39970 (or 39960 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The spelling of 78264189144 in words is "seventy-eight billion, two hundred sixty-four million, one hundred eighty-nine thousand, one hundred forty-four".