101449627824 has 160 divisors (see below), whose sum is σ = 278205408000. Its totient is φ = 31766999040.

The previous prime is 101449627823. The next prime is 101449627837. The reversal of 101449627824 is 428726944101.

It is a super-2 number, since 2×101449627824² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (101449627823) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59710527 + ... + 59712225.

It is an arithmetic number, because the mean of its divisors is an integer number (1738783800).

Almost surely, 2^101449627824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101449627824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139102704000).

101449627824 is an abundant number, since it is smaller than the sum of its proper divisors (176755780176).

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

101449627824 is a wasteful number, since it uses less digits than its factorization.

101449627824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2243 (or 2237 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 101449627824 in words is "one hundred one billion, four hundred forty-nine million, six hundred twenty-seven thousand, eight hundred twenty-four".