1631737096542 has 384 divisors, whose sum is σ = 4488113111040. Its totient is φ = 417737295360.

The previous prime is 1631737096489. The next prime is 1631737096589. The reversal of 1631737096542 is 2456907371361.

1631737096542 is a `hidden beast` number, since 1 + 6 + 3 + 1 + 7 + 3 + 7 + 0 + 96 + 542 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2522004463 + ... + 2522005109.

It is an arithmetic number, because the mean of its divisors is an integer number (11687794560).

Almost surely, 2^{1631737096542} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1631737096542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2244056555520).

1631737096542 is an abundant number, since it is smaller than the sum of its proper divisors (2856376014498).

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

1631737096542 is a wasteful number, since it uses less digits than its factorization.

1631737096542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 1631737096542 in words is "one trillion, six hundred thirty-one billion, seven hundred thirty-seven million, ninety-six thousand, five hundred forty-two".