465426091113984 has 2880 divisors, whose sum is σ = 1899538469756928. Its totient is φ = 110467672473600.

The previous prime is 465426091113979. The next prime is 465426091114003. The reversal of 465426091113984 is 489311190624564.

465426091113984 is a `hidden beast` number, since 4 + 6 + 5 + 4 + 2 + 609 + 1 + 1 + 13 + 9 + 8 + 4 = 666.

It is a super-2 number, since 2×465426091113984² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 166759615629 + ... + 166759618419.

Almost surely, 2^{465426091113984} is an apocalyptic number.

465426091113984 is a gapful number since it is divisible by the number (44) 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 465426091113984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949769234878464).

465426091113984 is an abundant number, since it is smaller than the sum of its proper divisors (1434112378642944).

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

465426091113984 is a wasteful number, since it uses less digits than its factorization.

465426091113984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2971 (or 2930 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 465426091113984 in words is "four hundred sixty-five trillion, four hundred twenty-six billion, ninety-one million, one hundred thirteen thousand, nine hundred eighty-four".