1542606363648 has 396 divisors, whose sum is σ = 5286246197232. Its totient is φ = 440731238400.

The previous prime is 1542606363601. The next prime is 1542606363773. The reversal of 1542606363648 is 8463636062451.

1542606363648 is a `hidden beast` number, since 1 + 542 + 6 + 0 + 6 + 36 + 3 + 64 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1542606363594 and 1542606363603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 47012848 + ... + 47045648.

Almost surely, 2^{1542606363648} is an apocalyptic number.

1542606363648 is a gapful number since it is divisible by the number (18) 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 1542606363648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2643123098616).

1542606363648 is an abundant number, since it is smaller than the sum of its proper divisors (3743639833584).

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

1542606363648 is an frugal number, since it uses more digits than its factorization.

1542606363648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32852 (or 32813 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 1542606363648 in words is "one trillion, five hundred forty-two billion, six hundred six million, three hundred sixty-three thousand, six hundred forty-eight".