100449267756544 has 240 divisors, whose sum is σ = 236760779326896. Its totient is φ = 42443373772800.

The previous prime is 100449267756499. The next prime is 100449267756547. The reversal of 100449267756544 is 445657762944001.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100449267756547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5441151474 + ... + 5441169934.

Almost surely, 2^{100449267756544} is an apocalyptic number.

100449267756544 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 100449267756544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118380389663448).

100449267756544 is an abundant number, since it is smaller than the sum of its proper divisors (136311511570352).

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

100449267756544 is an equidigital number, since it uses as much as digits as its factorization.

100449267756544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21537 (or 21514 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 64.

The spelling of 100449267756544 in words is "one hundred trillion, four hundred forty-nine billion, two hundred sixty-seven million, seven hundred fifty-six thousand, five hundred forty-four".