45347143680 has 768 divisors, whose sum is σ = 175189210560. Its totient is φ = 11211374592.

The previous prime is 45347143679. The next prime is 45347143711. The reversal of 45347143680 is 8634174354.

45347143680 is a `hidden beast` number, since 4 + 534 + 7 + 1 + 4 + 36 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 676823007 + ... + 676823073.

Almost surely, 2^45347143680 is an apocalyptic number.

45347143680 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 45347143680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87594605280).

45347143680 is an abundant number, since it is smaller than the sum of its proper divisors (129842066880).

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

45347143680 is an frugal number, since it uses more digits than its factorization.

45347143680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 45347143680 in words is "forty-five billion, three hundred forty-seven million, one hundred forty-three thousand, six hundred eighty".