468437623416 has 320 divisors, whose sum is σ = 1570869780480. Its totient is φ = 127514787840.

The previous prime is 468437623411. The next prime is 468437623427. The reversal of 468437623416 is 614326734864.

468437623416 is a `hidden beast` number, since 4 + 6 + 8 + 4 + 3 + 7 + 623 + 4 + 1 + 6 = 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (468437623411) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26803561 + ... + 26821031.

It is an arithmetic number, because the mean of its divisors is an integer number (4908968064).

Almost surely, 2^468437623416 is an apocalyptic number.

468437623416 is a gapful number since it is divisible by the number (46) 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 468437623416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785434890240).

468437623416 is an abundant number, since it is smaller than the sum of its proper divisors (1102432157064).

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

468437623416 is a wasteful number, since it uses less digits than its factorization.

468437623416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17776 (or 17763 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 54.

The spelling of 468437623416 in words is "four hundred sixty-eight billion, four hundred thirty-seven million, six hundred twenty-three thousand, four hundred sixteen".