101375499456 has 1120 divisors, whose sum is σ = 393001804800. Its totient is φ = 25604812800.

The previous prime is 101375499443. The next prime is 101375499479. The reversal of 101375499456 is 654994573101.

101375499456 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 7 + 549 + 94 + 5 + 6 = 666.

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

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 159 ways as a sum of consecutive naturals, for example, 1388705436 + ... + 1388705508.

Almost surely, 2^101375499456 is an apocalyptic number.

101375499456 is a gapful number since it is divisible by the number (16) 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 101375499456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196500902400).

101375499456 is an abundant number, since it is smaller than the sum of its proper divisors (291626305344).

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

101375499456 is an equidigital number, since it uses as much as digits as its factorization.

101375499456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 101375499456 in words is "one hundred one billion, three hundred seventy-five million, four hundred ninety-nine thousand, four hundred fifty-six".