161649006480 has 640 divisors, whose sum is σ = 622400163840. Its totient is φ = 38293585920.

The previous prime is 161649006473. The next prime is 161649006487. The reversal of 161649006480 is 84600946161.

161649006480 is a `hidden beast` number, since 1 + 6 + 164 + 9 + 0 + 0 + 6 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (161649006473) and next prime (161649006487).

It is a super-2 number, since 2×161649006480² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (161649006487) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 202821442 + ... + 202822238.

It is an arithmetic number, because the mean of its divisors is an integer number (972500256).

Almost surely, 2^161649006480 is an apocalyptic number.

161649006480 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 161649006480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311200081920).

161649006480 is an abundant number, since it is smaller than the sum of its proper divisors (460751157360).

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

161649006480 is a wasteful number, since it uses less digits than its factorization.

161649006480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 161649006480 in words is "one hundred sixty-one billion, six hundred forty-nine million, six thousand, four hundred eighty".