114821616 has 160 divisors (see below), whose sum is σ = 370198528. Its totient is φ = 29859840.

The previous prime is 114821599. The next prime is 114821633. The reversal of 114821616 is 616128411.

It is an interprime number because it is at equal distance from previous prime (114821599) and next prime (114821633).

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 423561 + ... + 423831.

Almost surely, 2^114821616 is an apocalyptic number.

114821616 is a gapful number since it is divisible by the number (16) 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 114821616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185099264).

114821616 is an abundant number, since it is smaller than the sum of its proper divisors (255376912).

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

114821616 is a wasteful number, since it uses less digits than its factorization.

114821616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 393 counting only the distinct ones).

The product of its digits is 2304, while the sum is 30.

The square root of 114821616 is about 10715.4848700374. The cubic root of 114821616 is about 486.0428419954.

The spelling of 114821616 in words is "one hundred fourteen million, eight hundred twenty-one thousand, six hundred sixteen".