101454969322048 has 224 divisors, whose sum is σ = 208644337762560. Its totient is φ = 48929795604480.

The previous prime is 101454969322043. The next prime is 101454969322067. The reversal of 101454969322048 is 840223969454101.

It is a super-2 number, since 2×101454969322048² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101454969321983 and 101454969322001.

It is not an unprimeable number, because it can be changed into a prime (101454969322043) 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, 13649258940 + ... + 13649266372.

It is an arithmetic number, because the mean of its divisors is an integer number (931447936440).

Almost surely, 2^{101454969322048} 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 101454969322048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104322168881280).

101454969322048 is an abundant number, since it is smaller than the sum of its proper divisors (107189368440512).

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

101454969322048 is a wasteful number, since it uses less digits than its factorization.

101454969322048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7965 (or 7955 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 58.

The spelling of 101454969322048 in words is "one hundred one trillion, four hundred fifty-four billion, nine hundred sixty-nine million, three hundred twenty-two thousand, forty-eight".