842313456146880 has 168 divisors, whose sum is σ = 2897263712346432. Its totient is φ = 224612550014976.

The previous prime is 842313456146849. The next prime is 842313456146933. The reversal of 842313456146880 is 88641654313248.

842313456146880 is a `hidden beast` number, since 8 + 4 + 2 + 3 + 1 + 3 + 4 + 5 + 614 + 6 + 8 + 8 + 0 = 666.

842313456146880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×842313456146880² (a number of 31 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146516457 + ... + 152156823.

Almost surely, 2^{842313456146880} is an apocalyptic number.

842313456146880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

842313456146880 is an abundant number, since it is smaller than the sum of its proper divisors (2054950256199552).

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

842313456146880 is a wasteful number, since it uses less digits than its factorization.

842313456146880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5692243 (or 5692230 counting only the distinct ones).

The product of its (nonzero) digits is 106168320, while the sum is 63.

The spelling of 842313456146880 in words is "eight hundred forty-two trillion, three hundred thirteen billion, four hundred fifty-six million, one hundred forty-six thousand, eight hundred eighty".