114021670812672 has 2112 divisors, whose sum is σ = 396097762099200. Its totient is φ = 28954967408640.

The previous prime is 114021670812667. The next prime is 114021670812697. The reversal of 114021670812672 is 276218076120411.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 511307940753 + ... + 511307940975.

Almost surely, 2^{114021670812672} is an apocalyptic number.

114021670812672 is a gapful number since it is divisible by the number (12) 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 114021670812672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198048881049600).

114021670812672 is an abundant number, since it is smaller than the sum of its proper divisors (282076091286528).

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

114021670812672 is a wasteful number, since it uses less digits than its factorization.

114021670812672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 48.

The spelling of 114021670812672 in words is "one hundred fourteen trillion, twenty-one billion, six hundred seventy million, eight hundred twelve thousand, six hundred seventy-two".