101649945600 has 1320 divisors, whose sum is σ = 442269907200. Its totient is φ = 22587310080.

The previous prime is 101649945583. The next prime is 101649945637. The reversal of 101649945600 is 6549946101.

It is a happy number.

101649945600 is a `hidden beast` number, since 101 + 6 + 4 + 99 + 456 + 0 + 0 = 666.

It is a super-2 number, since 2×101649945600² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 682214326 + ... + 682214474.

It is an arithmetic number, because the mean of its divisors is an integer number (335052960).

Almost surely, 2^101649945600 is an apocalyptic number.

101649945600 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 101649945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221134953600).

101649945600 is an abundant number, since it is smaller than the sum of its proper divisors (340619961600).

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

101649945600 is a wasteful number, since it uses less digits than its factorization.

101649945600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 101649945600 in words is "one hundred one billion, six hundred forty-nine million, nine hundred forty-five thousand, six hundred".