101400718848 has 320 divisors, whose sum is σ = 328328985600. Its totient is φ = 27384053760.

The previous prime is 101400718847. The next prime is 101400718889. The reversal of 101400718848 is 848817004101.

It is a super-2 number, since 2×101400718848² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101400718847) 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, 6361833 + ... + 6377751.

It is an arithmetic number, because the mean of its divisors is an integer number (1026028080).

Almost surely, 2^101400718848 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 101400718848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164164492800).

101400718848 is an abundant number, since it is smaller than the sum of its proper divisors (226928266752).

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

101400718848 is a wasteful number, since it uses less digits than its factorization.

101400718848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15993 (or 15977 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 42.

The spelling of 101400718848 in words is "one hundred one billion, four hundred million, seven hundred eighteen thousand, eight hundred forty-eight".