14894957220948 has 576 divisors, whose sum is σ = 46469832048640. Its totient is φ = 3928729319424.

The previous prime is 14894957220947. The next prime is 14894957220961. The reversal of 14894957220948 is 84902275949841.

14894957220948 is a `hidden beast` number, since 1 + 4 + 8 + 9 + 4 + 9 + 572 + 2 + 0 + 9 + 48 = 666.

It is a super-4 number, since 4×14894957220948⁴ (a number of 54 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3, 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14894957220947) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13627590690 + ... + 13627591782.

Almost surely, 2^{14894957220948} is an apocalyptic number.

14894957220948 is a gapful number since it is divisible by the number (18) 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 14894957220948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23234916024320).

14894957220948 is an abundant number, since it is smaller than the sum of its proper divisors (31574874827692).

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

14894957220948 is a wasteful number, since it uses less digits than its factorization.

14894957220948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 14894957220948 in words is "fourteen trillion, eight hundred ninety-four billion, nine hundred fifty-seven million, two hundred twenty thousand, nine hundred forty-eight".