1234494153984 has 864 divisors, whose sum is σ = 4281500934144. Its totient is φ = 308759592960.

The previous prime is 1234494153967. The next prime is 1234494154007. The reversal of 1234494153984 is 4893514944321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1492737379 + ... + 1492738205.

It is an arithmetic number, because the mean of its divisors is an integer number (4955440896).

Almost surely, 2^{1234494153984} is an apocalyptic number.

1234494153984 is a gapful number since it is divisible by the number (14) 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 1234494153984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2140750467072).

1234494153984 is an abundant number, since it is smaller than the sum of its proper divisors (3047006780160).

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

1234494153984 is a wasteful number, since it uses less digits than its factorization.

1234494153984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 936 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 57.

The spelling of 1234494153984 in words is "one trillion, two hundred thirty-four billion, four hundred ninety-four million, one hundred fifty-three thousand, nine hundred eighty-four".