342149070279456 has 384 divisors, whose sum is σ = 1103716508590080. Its totient is φ = 102247594444800.

The previous prime is 342149070279437. The next prime is 342149070279517. The reversal of 342149070279456 is 654972070941243.

342149070279456 is a `hidden beast` number, since 3 + 4 + 2 + 1 + 4 + 90 + 70 + 27 + 9 + 456 = 666.

It is a super-2 number, since 2×342149070279456² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 342149070279393 and 342149070279402.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5982539821 + ... + 5982597011.

It is an arithmetic number, because the mean of its divisors is an integer number (2874261741120).

Almost surely, 2^{342149070279456} is an apocalyptic number.

342149070279456 is a gapful number since it is divisible by the number (36) 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 342149070279456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551858254295040).

342149070279456 is an abundant number, since it is smaller than the sum of its proper divisors (761567438310624).

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

342149070279456 is a wasteful number, since it uses less digits than its factorization.

342149070279456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65917 (or 65903 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 342149070279456 in words is "three hundred forty-two trillion, one hundred forty-nine billion, seventy million, two hundred seventy-nine thousand, four hundred fifty-six".