161211474816000 has 1408 divisors, whose sum is σ = 651520663971840. Its totient is φ = 34562211840000.

The previous prime is 161211474815917. The next prime is 161211474816059. The reversal of 161211474816000 is 618474112161.

It is a happy number.

It is a super-2 number, since 2×161211474816000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5158256374 + ... + 5158287626.

Almost surely, 2^{161211474816000} is an apocalyptic number.

161211474816000 is a gapful number since it is divisible by the number (10) 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 161211474816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325760331985920).

161211474816000 is an abundant number, since it is smaller than the sum of its proper divisors (490309189155840).

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

161211474816000 is a wasteful number, since it uses less digits than its factorization.

161211474816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31418 (or 31390 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The spelling of 161211474816000 in words is "one hundred sixty-one trillion, two hundred eleven billion, four hundred seventy-four million, eight hundred sixteen thousand".