161751884731776 has 768 divisors, whose sum is σ = 517872893990400. Its totient is φ = 48199686881280.

The previous prime is 161751884731769. The next prime is 161751884731781. The reversal of 161751884731776 is 677137488157161.

161751884731776 is a `hidden beast` number, since 1 + 6 + 1 + 7 + 5 + 1 + 88 + 473 + 1 + 7 + 76 = 666.

It is a super-2 number, since 2×161751884731776² (a number of 29 digits) contains 22 as substring.

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

Its product of digits (331914240) is a multiple of the sum of its prime divisors (3072).

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, 102961097071 + ... + 102961098641.

It is an arithmetic number, because the mean of its divisors is an integer number (674313664050).

Almost surely, 2^{161751884731776} is an apocalyptic number.

161751884731776 is a gapful number since it is divisible by the number (16) 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 161751884731776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258936446995200).

161751884731776 is an abundant number, since it is smaller than the sum of its proper divisors (356121009258624).

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

161751884731776 is a wasteful number, since it uses less digits than its factorization.

161751884731776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3087 (or 3072 counting only the distinct ones).

The product of its digits is 331914240, while the sum is 72.

The spelling of 161751884731776 in words is "one hundred sixty-one trillion, seven hundred fifty-one billion, eight hundred eighty-four million, seven hundred thirty-one thousand, seven hundred seventy-six".