46207155270960 has 480 divisors, whose sum is σ = 159678076109760. Its totient is φ = 11969872232448.

The previous prime is 46207155270949. The next prime is 46207155270967. The reversal of 46207155270960 is 6907255170264.

It is a happy number.

46207155270960 is a `hidden beast` number, since 4 + 6 + 20 + 7 + 1 + 5 + 527 + 0 + 96 + 0 = 666.

It is a super-2 number, since 2×46207155270960² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 46207155270897 and 46207155270906.

It is not an unprimeable number, because it can be changed into a prime (46207155270967) 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 95 ways as a sum of consecutive naturals, for example, 1591524604 + ... + 1591553636.

It is an arithmetic number, because the mean of its divisors is an integer number (332662658562).

Almost surely, 2^{46207155270960} is an apocalyptic number.

46207155270960 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 46207155270960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79839038054880).

46207155270960 is an abundant number, since it is smaller than the sum of its proper divisors (113470920838800).

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

46207155270960 is a wasteful number, since it uses less digits than its factorization.

46207155270960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29517 (or 29508 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 46207155270960 in words is "forty-six trillion, two hundred seven billion, one hundred fifty-five million, two hundred seventy thousand, nine hundred sixty".