3542147004456 has 48 divisors (see below), whose sum is σ = 9593718400500. Its totient is φ = 1180665994752.

The previous prime is 3542147004401. The next prime is 3542147004527. The reversal of 3542147004456 is 6544007412453.

3542147004456 is a `hidden beast` number, since 3 + 54 + 2 + 147 + 0 + 0 + 4 + 456 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3367702116900 + 174444887556 = 1835130^2 + 417666^2 .

It is a super-3 number, since 3×3542147004456³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 708690 + ... + 2754366.

Almost surely, 2^{3542147004456} is an apocalyptic number.

3542147004456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3542147004456 is an abundant number, since it is smaller than the sum of its proper divisors (6051571396044).

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

3542147004456 is a wasteful number, since it uses less digits than its factorization.

3542147004456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2069738 (or 2069731 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 3542147004456 in words is "three trillion, five hundred forty-two billion, one hundred forty-seven million, four thousand, four hundred fifty-six".