18777465484416 has 384 divisors, whose sum is σ = 56498687481600. Its totient is φ = 6207502169088.

The previous prime is 18777465484411. The next prime is 18777465484433. The reversal of 18777465484416 is 61448456477781.

18777465484416 is a `hidden beast` number, since 1 + 8 + 7 + 7 + 74 + 6 + 548 + 4 + 4 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×18777465484416² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (18777465484411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5650755331 + ... + 5650758653.

It is an arithmetic number, because the mean of its divisors is an integer number (147131998650).

Almost surely, 2^{18777465484416} is an apocalyptic number.

18777465484416 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 18777465484416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28249343740800).

18777465484416 is an abundant number, since it is smaller than the sum of its proper divisors (37721221997184).

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

18777465484416 is a wasteful number, since it uses less digits than its factorization.

18777465484416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4798 (or 4774 counting only the distinct ones).

The product of its digits is 1011548160, while the sum is 72.

The spelling of 18777465484416 in words is "eighteen trillion, seven hundred seventy-seven billion, four hundred sixty-five million, four hundred eighty-four thousand, four hundred sixteen".