1541987074368 has 672 divisors, whose sum is σ = 5140537344000. Its totient is φ = 452496844800.

The previous prime is 1541987074339. The next prime is 1541987074421. The reversal of 1541987074368 is 8634707891451.

1541987074368 is a `hidden beast` number, since 1 + 5 + 4 + 198 + 7 + 0 + 7 + 436 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 642761233 + ... + 642763631.

Almost surely, 2^{1541987074368} is an apocalyptic number.

1541987074368 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 1541987074368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2570268672000).

1541987074368 is an abundant number, since it is smaller than the sum of its proper divisors (3598550269632).

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

1541987074368 is a wasteful number, since it uses less digits than its factorization.

1541987074368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2548 (or 2519 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 1541987074368 in words is "one trillion, five hundred forty-one billion, nine hundred eighty-seven million, seventy-four thousand, three hundred sixty-eight".