1414992148848 has 320 divisors, whose sum is σ = 4493379072000. Its totient is φ = 424329041664.

The previous prime is 1414992148807. The next prime is 1414992148861. The reversal of 1414992148848 is 8488412994141.

1414992148848 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 99 + 21 + 488 + 48 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26214015 + ... + 26267937.

It is an arithmetic number, because the mean of its divisors is an integer number (14041809600).

Almost surely, 2^{1414992148848} is an apocalyptic number.

1414992148848 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 1414992148848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2246689536000).

1414992148848 is an abundant number, since it is smaller than the sum of its proper divisors (3078386923152).

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

1414992148848 is a wasteful number, since it uses less digits than its factorization.

1414992148848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54121 (or 54109 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 63.

The spelling of 1414992148848 in words is "one trillion, four hundred fourteen billion, nine hundred ninety-two million, one hundred forty-eight thousand, eight hundred forty-eight".