616148989920 has 384 divisors, whose sum is σ = 2208415104000. Its totient is φ = 160384333824.

The previous prime is 616148989873. The next prime is 616148990011. The reversal of 616148989920 is 29989841616.

616148989920 is a `hidden beast` number, since 6 + 1 + 61 + 489 + 8 + 9 + 92 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45556279 + ... + 45569801.

It is an arithmetic number, because the mean of its divisors is an integer number (5751081000).

Almost surely, 2^616148989920 is an apocalyptic number.

616148989920 is a gapful number since it is divisible by the number (60) 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 616148989920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104207552000).

616148989920 is an abundant number, since it is smaller than the sum of its proper divisors (1592266114080).

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

616148989920 is a wasteful number, since it uses less digits than its factorization.

616148989920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13799 (or 13785 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 63.

The spelling of 616148989920 in words is "six hundred sixteen billion, one hundred forty-eight million, nine hundred eighty-nine thousand, nine hundred twenty".