46825514303152 has 160 divisors (see below), whose sum is σ = 105335218114560. Its totient is φ = 19987181153280.

The previous prime is 46825514303131. The next prime is 46825514303153. The reversal of 46825514303152 is 25130341552864.

46825514303152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 46825514303096 and 46825514303105.

It is not an unprimeable number, because it can be changed into a prime (46825514303153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164326783 + ... + 164611489.

It is an arithmetic number, because the mean of its divisors is an integer number (658345113216).

Almost surely, 2^{46825514303152} 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 46825514303152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52667609057280).

46825514303152 is an abundant number, since it is smaller than the sum of its proper divisors (58509703811408).

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

46825514303152 is a wasteful number, since it uses less digits than its factorization.

46825514303152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285891 (or 285885 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 49.

The spelling of 46825514303152 in words is "forty-six trillion, eight hundred twenty-five billion, five hundred fourteen million, three hundred three thousand, one hundred fifty-two".