1542604658112 has 1120 divisors, whose sum is σ = 5810053708800. Its totient is φ = 394544037888.

The previous prime is 1542604658099. The next prime is 1542604658123. The reversal of 1542604658112 is 2118564062451.

1542604658112 is a `hidden beast` number, since 1 + 5 + 4 + 2 + 60 + 4 + 6 + 581 + 1 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1411348638 + ... + 1411349730.

Almost surely, 2^{1542604658112} is an apocalyptic number.

1542604658112 is a gapful number since it is divisible by the number (12) 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 1542604658112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2905026854400).

1542604658112 is an abundant number, since it is smaller than the sum of its proper divisors (4267449050688).

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

1542604658112 is a wasteful number, since it uses less digits than its factorization.

1542604658112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 1542604658112 in words is "one trillion, five hundred forty-two billion, six hundred four million, six hundred fifty-eight thousand, one hundred twelve".