107448897451536 has 135 divisors (see below), whose sum is σ = 307258560326991. Its totient is φ = 35052342933312.

The previous prime is 107448897451411. The next prime is 107448897451573. The reversal of 107448897451536 is 635154798844701.

The square root of 107448897451536 is 10365756.

It is a perfect power (a square), and thus also a powerful number.

107448897451536 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 4 + 8 + 8 + 9 + 74 + 515 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5846277195 + ... + 5846295573.

Almost surely, 2^{107448897451536} is an apocalyptic number.

107448897451536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

107448897451536 is the 10365756-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107448897451536

107448897451536 is an abundant number, since it is smaller than the sum of its proper divisors (199809662875455).

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

107448897451536 is an frugal number, since it uses more digits than its factorization.

107448897451536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36866 (or 18431 counting only the distinct ones).

The product of its (nonzero) digits is 812851200, while the sum is 72.

The spelling of 107448897451536 in words is "one hundred seven trillion, four hundred forty-eight billion, eight hundred ninety-seven million, four hundred fifty-one thousand, five hundred thirty-six".