1542335814656 has 528 divisors, whose sum is σ = 3927880283904. Its totient is φ = 592514777088.

The previous prime is 1542335814559. The next prime is 1542335814671. The reversal of 1542335814656 is 6564185332451.

It is a junction number, because it is equal to n+sod(n) for n = 1542335814598 and 1542335814607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9462182831 + ... + 9462182993.

Almost surely, 2^{1542335814656} is an apocalyptic number.

1542335814656 is a gapful number since it is divisible by the number (16) 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 1542335814656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1963940141952).

1542335814656 is an abundant number, since it is smaller than the sum of its proper divisors (2385544469248).

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

1542335814656 is a wasteful number, since it uses less digits than its factorization.

1542335814656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 365 counting only the distinct ones).

The product of its digits is 10368000, while the sum is 53.

The spelling of 1542335814656 in words is "one trillion, five hundred forty-two billion, three hundred thirty-five million, eight hundred fourteen thousand, six hundred fifty-six".