46038407520 has 768 divisors, whose sum is σ = 184617861120. Its totient is φ = 9405849600.

The previous prime is 46038407483. The next prime is 46038407521. The reversal of 46038407520 is 2570483064.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46038407521) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 85098450 + ... + 85098990.

It is an arithmetic number, because the mean of its divisors is an integer number (240387840).

Almost surely, 2^46038407520 is an apocalyptic number.

46038407520 is a gapful number since it is divisible by the number (40) 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 46038407520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92308930560).

46038407520 is an abundant number, since it is smaller than the sum of its proper divisors (138579453600).

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

46038407520 is a wasteful number, since it uses less digits than its factorization.

46038407520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 46038407520 in words is "forty-six billion, thirty-eight million, four hundred seven thousand, five hundred twenty".