46457336954880 has 544 divisors, whose sum is σ = 165366136091520. Its totient is φ = 12374696263680.

The previous prime is 46457336954879. The next prime is 46457336954881. The reversal of 46457336954880 is 8845963375464.

It is a happy number.

46457336954880 is a `hidden beast` number, since 4 + 6 + 4 + 5 + 73 + 3 + 6 + 9 + 548 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (46457336954879) and next prime (46457336954881).

It is a super-2 number, since 2×46457336954880² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 46457336954799 and 46457336954808.

It is not an unprimeable number, because it can be changed into a prime (46457336954881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9652467354 + ... + 9652472166.

Almost surely, 2^{46457336954880} is an apocalyptic number.

46457336954880 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 46457336954880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82683068045760).

46457336954880 is an abundant number, since it is smaller than the sum of its proper divisors (118908799136640).

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

46457336954880 is an equidigital number, since it uses as much as digits as its factorization.

46457336954880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5950 (or 5914 counting only the distinct ones).

The product of its (nonzero) digits is 2090188800, while the sum is 72.

The spelling of 46457336954880 in words is "forty-six trillion, four hundred fifty-seven billion, three hundred thirty-six million, nine hundred fifty-four thousand, eight hundred eighty".