101545499664 has 600 divisors, whose sum is σ = 358764725088. Its totient is φ = 27616619520.

The previous prime is 101545499659. The next prime is 101545499669. The reversal of 101545499664 is 466994545101.

101545499664 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 4 + 549 + 96 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (101545499659) and next prime (101545499669).

It is a super-2 number, since 2×101545499664² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 101545499664.

It is not an unprimeable number, because it can be changed into a prime (101545499669) 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, 111957099 + ... + 111958005.

Almost surely, 2^101545499664 is an apocalyptic number.

101545499664 is a gapful number since it is divisible by the number (14) 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 101545499664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179382362544).

101545499664 is an abundant number, since it is smaller than the sum of its proper divisors (257219225424).

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

101545499664 is a wasteful number, since it uses less digits than its factorization.

101545499664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 101545499664 in words is "one hundred one billion, five hundred forty-five million, four hundred ninety-nine thousand, six hundred sixty-four".