1663149801600 has 960 divisors, whose sum is σ = 7240666329600. Its totient is φ = 367873228800.

The previous prime is 1663149801559. The next prime is 1663149801601. The reversal of 1663149801600 is 61089413661.

1663149801600 is a `hidden beast` number, since 1 + 6 + 6 + 31 + 4 + 9 + 8 + 0 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 (1663149801601) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 56231616 + ... + 56261184.

It is an arithmetic number, because the mean of its divisors is an integer number (7542360760).

Almost surely, 2^{1663149801600} is an apocalyptic number.

1663149801600 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 1663149801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3620333164800).

1663149801600 is an abundant number, since it is smaller than the sum of its proper divisors (5577516528000).

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

1663149801600 is a wasteful number, since it uses less digits than its factorization.

1663149801600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29643 (or 29617 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 1663149801600 in words is "one trillion, six hundred sixty-three billion, one hundred forty-nine million, eight hundred one thousand, six hundred".