101458818648 has 160 divisors (see below), whose sum is σ = 311591039760. Its totient is φ = 30588606720.

The previous prime is 101458818641. The next prime is 101458818661. The reversal of 101458818648 is 846818854101.

101458818648 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 588 + 18 + 6 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 101458818594 and 101458818603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101458818641) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1368090 + ... + 1440342.

Almost surely, 2^101458818648 is an apocalyptic number.

101458818648 is a gapful number since it is divisible by the number (18) 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 101458818648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155795519880).

101458818648 is an abundant number, since it is smaller than the sum of its proper divisors (210132221112).

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

101458818648 is a wasteful number, since it uses less digits than its factorization.

101458818648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72479 (or 72466 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 54.

The spelling of 101458818648 in words is "one hundred one billion, four hundred fifty-eight million, eight hundred eighteen thousand, six hundred forty-eight".