1334634990948 has 288 divisors, whose sum is σ = 4301306231040. Its totient is φ = 339685539840.

The previous prime is 1334634990937. The next prime is 1334634990961. The reversal of 1334634990948 is 8490994364331.

1334634990948 is a `hidden beast` number, since 1 + 3 + 3 + 463 + 49 + 90 + 9 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93842478 + ... + 93856698.

It is an arithmetic number, because the mean of its divisors is an integer number (14935091080).

Almost surely, 2^{1334634990948} is an apocalyptic number.

1334634990948 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 1334634990948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2150653115520).

1334634990948 is an abundant number, since it is smaller than the sum of its proper divisors (2966671240092).

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

1334634990948 is a wasteful number, since it uses less digits than its factorization.

1334634990948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15427 (or 15422 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 63.

The spelling of 1334634990948 in words is "one trillion, three hundred thirty-four billion, six hundred thirty-four million, nine hundred ninety thousand, nine hundred forty-eight".