46428331453488 has 240 divisors, whose sum is σ = 135877735768320. Its totient is φ = 14780058402816.

The previous prime is 46428331453477. The next prime is 46428331453489. The reversal of 46428331453488 is 88435413382464.

46428331453488 is a `hidden beast` number, since 4 + 6 + 4 + 2 + 8 + 3 + 3 + 14 + 534 + 88 = 666.

It is a super-2 number, since 2×46428331453488² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (46428331453489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 738414820 + ... + 738477692.

It is an arithmetic number, because the mean of its divisors is an integer number (566157232368).

Almost surely, 2^{46428331453488} is an apocalyptic number.

46428331453488 is a gapful number since it is divisible by the number (48) 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 46428331453488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67938867884160).

46428331453488 is an abundant number, since it is smaller than the sum of its proper divisors (89449404314832).

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

46428331453488 is a wasteful number, since it uses less digits than its factorization.

46428331453488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64836 (or 64827 counting only the distinct ones).

The product of its digits is 212336640, while the sum is 63.

The spelling of 46428331453488 in words is "forty-six trillion, four hundred twenty-eight billion, three hundred thirty-one million, four hundred fifty-three thousand, four hundred eighty-eight".