46126150071456 has 576 divisors, whose sum is σ = 159434368789248. Its totient is φ = 11366936395776.

The previous prime is 46126150071433. The next prime is 46126150071473. The reversal of 46126150071456 is 65417005162164.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 230119630 + ... + 230319986.

It is an arithmetic number, because the mean of its divisors is an integer number (276795779148).

Almost surely, 2^{46126150071456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46126150071456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79717184394624).

46126150071456 is an abundant number, since it is smaller than the sum of its proper divisors (113308218717792).

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

46126150071456 is a wasteful number, since it uses less digits than its factorization.

46126150071456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200501 (or 200474 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 46126150071456 in words is "forty-six trillion, one hundred twenty-six billion, one hundred fifty million, seventy-one thousand, four hundred fifty-six".