46770512977216 has 224 divisors, whose sum is σ = 108885837892608. Its totient is φ = 19519428833280.

The previous prime is 46770512977147. The next prime is 46770512977217. The reversal of 46770512977216 is 61277921507764.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×46770512977216² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46770512977217) 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, 5241563731 + ... + 5241572653.

It is an arithmetic number, because the mean of its divisors is an integer number (486097490592).

Almost surely, 2^{46770512977216} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46770512977216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54442918946304).

46770512977216 is an abundant number, since it is smaller than the sum of its proper divisors (62115324915392).

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

46770512977216 is a wasteful number, since it uses less digits than its factorization.

46770512977216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11029 (or 11019 counting only the distinct ones).

The product of its (nonzero) digits is 62233920, while the sum is 64.

The spelling of 46770512977216 in words is "forty-six trillion, seven hundred seventy billion, five hundred twelve million, nine hundred seventy-seven thousand, two hundred sixteen".