153362653161642 has 192 divisors, whose sum is σ = 350436971808000. Its totient is φ = 49713624559872.

The previous prime is 153362653161563. The next prime is 153362653161671. The reversal of 153362653161642 is 246161356263351.

153362653161642 is a `hidden beast` number, since 1 + 5 + 3 + 3 + 6 + 2 + 6 + 531 + 61 + 6 + 42 = 666.

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

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, 8038286659 + ... + 8038305737.

It is an arithmetic number, because the mean of its divisors is an integer number (1825192561500).

Almost surely, 2^{153362653161642} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153362653161642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175218485904000).

153362653161642 is an abundant number, since it is smaller than the sum of its proper divisors (197074318646358).

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

153362653161642 is a wasteful number, since it uses less digits than its factorization.

153362653161642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19662 (or 19603 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 54.

The spelling of 153362653161642 in words is "one hundred fifty-three trillion, three hundred sixty-two billion, six hundred fifty-three million, one hundred sixty-one thousand, six hundred forty-two".