201374737599168 has 336 divisors, whose sum is σ = 689250699077760. Its totient is φ = 57486139458048.

The previous prime is 201374737599151. The next prime is 201374737599179. The reversal of 201374737599168 is 861995737473102.

201374737599168 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 7 + 4 + 7 + 375 + 99 + 168 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 201374737599096 and 201374737599105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97451055 + ... + 99496017.

It is a 2-persistent number, because it is pandigital, and so is 2⋅201374737599168 = 402749475198336, but 3⋅201374737599168 = 604124212797504 is not.

Almost surely, 2^{201374737599168} is an apocalyptic number.

201374737599168 is a gapful number since it is divisible by the number (28) 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 201374737599168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344625349538880).

201374737599168 is an abundant number, since it is smaller than the sum of its proper divisors (487875961478592).

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

201374737599168 is a wasteful number, since it uses less digits than its factorization.

201374737599168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046161 (or 2046138 counting only the distinct ones).

The product of its (nonzero) digits is 480090240, while the sum is 72.

The spelling of 201374737599168 in words is "two hundred one trillion, three hundred seventy-four billion, seven hundred thirty-seven million, five hundred ninety-nine thousand, one hundred sixty-eight".