161154004515840 has 2816 divisors, whose sum is σ = 720165858508800. Its totient is φ = 33352055783424.

The previous prime is 161154004515811. The next prime is 161154004515863. The reversal of 161154004515840 is 48515400451161.

161154004515840 is a `hidden beast` number, since 1 + 6 + 1 + 1 + 54 + 0 + 0 + 4 + 515 + 84 + 0 = 666.

It is a super-2 number, since 2×161154004515840² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 37157942152 + ... + 37157946488.

It is an arithmetic number, because the mean of its divisors is an integer number (255740716800).

Almost surely, 2^{161154004515840} is an apocalyptic number.

161154004515840 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 161154004515840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360082929254400).

161154004515840 is an abundant number, since it is smaller than the sum of its proper divisors (559011853992960).

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

161154004515840 is a wasteful number, since it uses less digits than its factorization.

161154004515840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4487 (or 4463 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The spelling of 161154004515840 in words is "one hundred sixty-one trillion, one hundred fifty-four billion, four million, five hundred fifteen thousand, eight hundred forty".