46438225531152 has 320 divisors, whose sum is σ = 148111696244736. Its totient is φ = 12209183447040.

The previous prime is 46438225531121. The next prime is 46438225531211. The reversal of 46438225531152 is 25113552283464.

It is a happy number.

It is a super-3 number, since 3×46438225531152³ (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 46438225531095 and 46438225531104.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1948635877 + ... + 1948659707.

Almost surely, 2^{46438225531152} is an apocalyptic number.

46438225531152 is a gapful number since it is divisible by the number (42) 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 46438225531152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74055848122368).

46438225531152 is an abundant number, since it is smaller than the sum of its proper divisors (101673470713584).

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

46438225531152 is a wasteful number, since it uses less digits than its factorization.

46438225531152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25238 (or 25232 counting only the distinct ones).

The product of its digits is 6912000, while the sum is 51.

The spelling of 46438225531152 in words is "forty-six trillion, four hundred thirty-eight billion, two hundred twenty-five million, five hundred thirty-one thousand, one hundred fifty-two".