1468731098700 has 504 divisors, whose sum is σ = 4922112933360. Its totient is φ = 379957132800.

The previous prime is 1468731098699. The next prime is 1468731098729. The reversal of 1468731098700 is 78901378641.

1468731098700 is a `hidden beast` number, since 1 + 468 + 7 + 3 + 109 + 8 + 70 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1324373746 + ... + 1324374854.

It is an arithmetic number, because the mean of its divisors is an integer number (9766097090).

Almost surely, 2^{1468731098700} is an apocalyptic number.

1468731098700 is a gapful number since it is divisible by the number (10) 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 1468731098700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2461056466680).

1468731098700 is an abundant number, since it is smaller than the sum of its proper divisors (3453381834660).

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

1468731098700 is a wasteful number, since it uses less digits than its factorization.

1468731098700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1669 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 1468731098700 in words is "one trillion, four hundred sixty-eight billion, seven hundred thirty-one million, ninety-eight thousand, seven hundred".