216377941248 has 1080 divisors, whose sum is σ = 803894015232. Its totient is φ = 57582379008.

The previous prime is 216377941229. The next prime is 216377941253. The reversal of 216377941248 is 842149773612.

216377941248 is a `hidden beast` number, since 21 + 6 + 377 + 9 + 4 + 1 + 248 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 216377941194 and 216377941203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1098365086 + ... + 1098365282.

Almost surely, 2^216377941248 is an apocalyptic number.

216377941248 is a gapful number since it is divisible by the number (28) 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 216377941248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401947007616).

216377941248 is an abundant number, since it is smaller than the sum of its proper divisors (587516073984).

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

216377941248 is a wasteful number, since it uses less digits than its factorization.

216377941248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 279 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

It can be divided in two parts, 216377 and 941248, that added together give a cube (1157625 = 105³).

The spelling of 216377941248 in words is "two hundred sixteen billion, three hundred seventy-seven million, nine hundred forty-one thousand, two hundred forty-eight".