46145347488 has 480 divisors, whose sum is σ = 148375535616. Its totient is φ = 14028360192.

The previous prime is 46145347487. The next prime is 46145347499. The reversal of 46145347488 is 88474354164.

46145347488 is a `hidden beast` number, since 4 + 61 + 4 + 534 + 7 + 48 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (46145347487) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 120483745 + ... + 120484127.

Almost surely, 2^46145347488 is an apocalyptic number.

46145347488 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 46145347488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74187767808).

46145347488 is an abundant number, since it is smaller than the sum of its proper divisors (102230188128).

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

46145347488 is a wasteful number, since it uses less digits than its factorization.

46145347488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 501 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 54.

The spelling of 46145347488 in words is "forty-six billion, one hundred forty-five million, three hundred forty-seven thousand, four hundred eighty-eight".