101632164480 has 2048 divisors, whose sum is σ = 485620531200. Its totient is φ = 19707494400.

The previous prime is 101632164461. The next prime is 101632164533. The reversal of 101632164480 is 84461236101.

101632164480 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 3 + 2 + 1 + 644 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2478833260 + ... + 2478833300.

It is an arithmetic number, because the mean of its divisors is an integer number (237119400).

Almost surely, 2^101632164480 is an apocalyptic number.

101632164480 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 101632164480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242810265600).

101632164480 is an abundant number, since it is smaller than the sum of its proper divisors (383988366720).

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

101632164480 is an equidigital number, since it uses as much as digits as its factorization.

101632164480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

It can be divided in two parts, 1016321 and 64480, that added together give a palindrome (1080801).

The spelling of 101632164480 in words is "one hundred one billion, six hundred thirty-two million, one hundred sixty-four thousand, four hundred eighty".